THERMODYNAMICAL POTENTIALS OF CLASSICAL AND QUANTUM SYSTEMS

被引：4

作者：

Liu, Ruikuan ^{[1
]}

Ma, Tian ^{[1
]}

Wang, Shouhong ^{[2
]}

Yang, Jiayan ^{[3
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[3] Southwest Med Univ, Sch Med Informat & Engn, Luzhou 646000, Sichuan, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 04期

基金：

美国国家科学基金会;

关键词：

Potential-descending principle; order parameters; control parameters; SO(3) symmetry; spinor representation; PVT system; N-component system; magnetic system; dielectric system; Bose-Einstein condensates (BEC); superfluid; superconductor; liquid helium-4; liquid helium-3; BOSE-EINSTEIN CONDENSATION; VORTEX; GAS;

D O I：

10.3934/dcdsb.2018214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the paper is to systematically introduce thermodynamic potentials for thermodynamic systems and Hamiltonian energies for quantum systems of condensates. The study is based on the rich previous work done by pioneers in the related fields. The main ingredients of the study consist of 1) SO(3) symmetry of thermodynamical potentials, 2) theory of fundamental interaction of particles, 3) the statistical theory of heat developed recently [23], 4) quantum rules for condensates that we postulate in Quantum Rule 4.1, and 5) the dynamical transition theory developed by Ma and Wang [20]. The statistical and quantum systems we study in this paper include conventional thermodynamic systems, thermodynamic systems of condensates, as well as quantum condensate systems. The potentials and Hamiltonian energies that we derive are based on first principles, and no mean-field theoretic expansions are used.

引用

页码：1411 / 1448

页数：38

共 50 条

[1] Controlling the relative entropy evolution for classical, thermodynamical and quantum systems
Pavon, M
Ticozzi, F
2005 INTERNATIONAL CONFERENCE ON PHYSICS AND CONTROL (PHYSCON), 2005, : 1 - 7
[2] Thermodynamical aspects of classical lattice systems
Pfister, CE
IN AND OUT OF EQUILIBRIUM: PROBABILITY WITH A PHYSICS FLAVOR, 2002, 51 : 393 - 472
[3] On classical and quantum harmonic potentials
Mohazzabi, P
CANADIAN JOURNAL OF PHYSICS, 2000, 78 (10) : 937 - 946
[4] Potentials for identical classical and quantum motions
Makowski, AJ
PHYSICS LETTERS A, 1999, 258 (2-3) : 83 - 86
[5] INERTIAL POTENTIALS IN CLASSICAL AND QUANTUM MECHANICS
PAPINI, G
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1970, 68 (01): : 1 - &
[6] Dynamical and thermodynamical approaches to open quantum systems
Semin, Vitalii
Petruccione, Francesco
SCIENTIFIC REPORTS, 2020, 10 (01)
[7] Dynamical and thermodynamical approaches to open quantum systems
Vitalii Semin
Francesco Petruccione
Scientific Reports, 10
[8] Thermodynamical potentials.
Boynton, WP
PHYSICAL REVIEW, 1905, 20 (04): : 259 - 267
[9] On classical, fuzzy classical, quantum, and fuzzy quantum systems
Seising, Rudolf
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 1338 - 1342
[10] Quantum dynamics of large polyatomic systems using classical separable potentials - The computational implementation
Jungwirth, P
Fredj, E
Zdanska, P
Gerber, RB
COMPUTERS & CHEMISTRY, 1997, 21 (06): : 419 - 429

← 1 2 3 4 5 →